Does the arithmetic sequence 1, 2188, 4375, 6562, ...... contain infinitely many powers of 10?
Give reasons for your answer.
(In reply to Pwerful answer (spoiler)
by Steve Herman)
"There is nothing magic about 2187 or 10 for that matter. For any k and s, the arithmetic series 1, 1+k, 1+2k, ... contains infinitely many powers of s for any positive integers k and s."
Don't k and s have to be relatively prime?
Posted by Charlie
on 2015-07-14 16:14:00